“This article is part of the process of observing and recording the behavior of conversational AI (LLM) at an individual level.”

“Google in 2019 patented the Transformer architecture(the basis of modern neural networks), but did not enforce the patent, allowing competitors (like OpenAI) to build an entire industry worth trillions of dollars on it.”

“The U.S. may allow shipments of rather powerful AI processors to China on a case-by-case basis, but with the U.S. supply priority, do not expect AMD or Nvidia ship a ton of AI GPUs to the People's Republic.”

“One of the inventors of the transformer (the basis of chatGPT aka Generative Pre-Trained Transformer) says that it is now holding back progress.”

“Lesson: people follow confidence more than facts. That’s how ideas spread”

“The discrete period matrix admits the same canonical decomposition $Π= rac{1}{2} H + i T$ as in the smooth setting, where $H$ encodes the topological type and $T$ is purely imaginary.”

“The paper establishes error bounds for the reconstructed solution and the source term without requiring classical source conditions, and derives an expected convergence rate for the source error in a weaker topology.”

“The resistance associated with spin decoherence is governed by the order parameters of magnetic materials, such as the magnetization in ferromagnets and the Néel vector in antiferromagnets.”

“BF-APNN substantially reduces training time compared to RT-APNN while preserving high solution accuracy.”

“”

“The paper proposes to use a standard reduced basis method (RBM) to construct this low-order rational function. Algorithmically, this procedure is an iterative greedy approach, where the greedy objective is evaluated through an error estimator that exploits the linearity of the frequency domain representation.”

“The paper describes how to construct a spanning set of linearly-independent, automatically orthogonal colour tensors for scattering amplitudes involving coloured particles transforming under arbitrary representations of any gauge theory.”

“The proposed method, termed Haar-tSVD, exploits a unified tensor singular value decomposition (t-SVD) projection combined with Haar transform to efficiently capture global and local patch correlations.”

“DSC models the weight update as a residual trajectory within a Star-Shaped Domain, employing a Magnitude-Gated Simplex Interpolation to ensure continuity at the identity.”

“AI will "be able to replace many, many jobs" in 2026.”

“Uniqueness of the solution is established in two cases - the one-dimensional setting and the Gaussian case.”

“”

“N/A (No direct quote available from the provided information)”

“The method leverages orthogonal basis extraction from previously learned LoRA to initialize the learning of new tasks, further exploits the intrinsic asymmetry property of LoRA components by using a time-aware scaling mechanism to balance new and old knowledge during continual merging.”

“The author wants to automatically evaluate whether search results provide the basis for answering questions using an LLM.”

“The paper aims to uniquely identify unknown spatial anomalies -- interpreted as zones of habitat degradation -- and their associated ecological parameters in multi-species predator-prey systems.”

“The paper demonstrates that as few as three qubits per plaquette is sufficient to reach per-mille level precision on predictions for observables.”

“Stable motion provides clean anchors AND makes the next chunk far more likely to correctly continue the direction of a given action”

“We show that simple manipulations connecting these two representations involving the Mellin transform can be used to derive the thermal spectrum of Rindler particles observed by an accelerated observer.”

“eFEONet augments the operator-learning framework with specialized enrichment basis functions that encode the asymptotic structure of layer solutions.”

“Europe’s fintech sector raised around €18–20 billion across roughly 1,200 deals in 2025, according to PitchBook estimates, marking…”

“PR-based review requests were an old-fashioned process based on the fragile bodies and minds of reviewing humans. However, in modern times, excellent AI reviewers, not protected by labor standards, can be used cheaply at any time, so you can receive kind and detailed reviews not only on a PR basis, but also on a commit basis or even on a Ctrl+S basis if necessary.”

“The paper computes the complete one-loop renormalization group equations (RGEs) for all the four-fermion operators at dimension-8 Standard Model Effective Field Theory (SMEFT).”

“前回の記事では、スタンフォード大学の研究に基づいて、たった一文の 「魔法の言葉」 でLLMを覚醒させる方法を紹介しました。(In the previous article, based on research from Stanford University, I introduced a method to awaken LLMs with just one sentence of "magic words.")”

“Tokenizers provide the fundamental basis through which text is represented and processed by language models (LMs).”

“To overcome this limitation, our framework requires only the computation of directional derivatives and a pre-basis for the Hilbert space domain.”

“The paper focuses on 'variationally correct operator learning: Reduced basis neural operator with a posteriori error estimation'.”

“The research focuses on convergence speed, asymptotic bias, and rate-optimal pole selection.”

“”

“The research is sourced from ArXiv.”

“The article is sourced from ArXiv.”

“”

“The article is likely a technical paper found on ArXiv.”

“The article's source is ArXiv, implying a focus on research and possibly theoretical analysis.”

“The article's source is ArXiv, indicating a research paper is the basis for this analysis.”

“The research focuses on the precision of spike-timing in cortical neurons.”

“”

“The research presents an extensible pipeline with experimental evaluation.”

“”

“GeoLoom generates geometric diagrams from textual input.”

“The article's key findings on language development will be based on research performed.”

“The article doesn't contain a direct quote, but the core claim is the 82% reduction in GPU usage.”

“OpenAI's activities are generating discussion on Hacker News.”

“Built with OpenAI o3, o3-Pro, GPT-4.1, and GPT-5, Basis’ AI agents help accounting firms save up to 30% of their time and expand capacity for advisory and growth.”

“N/A - Insufficient context provided.”